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Finding the Third Proportional to 319,028.63 and 652,591.69

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Solution

The third proportional to 319,028.63 and 652,591.69 is: 1,334,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,028.63 : 652,591.69 = 652,591.69 : x
  2. Step 2: Convert to fraction form
    319,028.63/652,591.69 = 652,591.69/x
  3. Step 3: Cross multiply
    319,028.63x = 652,591.69 × 652,591.69
  4. Step 4: Simplify right side
    319,028.63x = 425,875,910,594.10
  5. Step 5: Solve for x
    x = 425,875,910,594.10/319,028.63
  6. Step 6: Final answer
    x = 1,334,914.42

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.